Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

For a random variable $X, E(X)=3 $ and $E(X^2)=11.$ Then value of Var(2X) is :

Options:

8

5

4

2

Correct Answer:

8

Explanation:

The correct answer is Option (1) → 8

$E(X)=3$

$E(X^2)=11$

$Var(X)=E(X^2)-[E(X)]^2$

$=11-3^2=2$

$⇒Var(aX)=a^2Var(X)$

$⇒Var(2X)=2^2Var(X)=2^3=8$